Вычислите: (41^2-82*11+11^2)/(35*47-35*32).

Ответ:

\[\frac{41^{2} - 82 \cdot 11 + 11^{2}}{35 \cdot 47 - 35 \cdot 32} =\]

\[= \frac{(41 - 11)^{2}}{35(47 - 32)} = \frac{30^{2}}{35 \cdot 15} =\]

\[= \frac{30 \cdot 30}{35 \cdot 15} = \frac{2 \cdot 6}{7} = \frac{12}{7} = 1\frac{5}{7}.\]